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57539925664 = 2513937147617
BaseRepresentation
bin110101100101101001…
…011001011010100000
312111112001112002011221
4311211221121122200
51420320210110124
642233344144424
74104615204214
oct654551313240
9174461462157
1057539925664
1122447873881
12b19a008114
13556cb997c0
142adbc76944
15176b7b1ce4
hexd65a596a0

57539925664 has 48 divisors (see below), whose sum is σ = 122126733288. Its totient is φ = 26528366592.

The previous prime is 57539925649. The next prime is 57539925683. The reversal of 57539925664 is 46652993575.

It can be written as a sum of positive squares in 4 ways, for example, as 34827024400 + 22712901264 = 186620^2 + 150708^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315984 + ... + 463600.

Almost surely, 257539925664 is an apocalyptic number.

It is an amenable number.

57539925664 is an abundant number, since it is smaller than the sum of its proper divisors (64586807624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57539925664 is a wasteful number, since it uses less digits than its factorization.

57539925664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148577 (or 148569 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 61.

The spelling of 57539925664 in words is "fifty-seven billion, five hundred thirty-nine million, nine hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 937 1874 3748 7496 12181 14992 24362 29984 48724 97448 147617 194896 295234 389792 590468 1180936 1919021 2361872 3838042 4723744 7676084 15352168 30704336 61408672 138317129 276634258 553268516 1106537032 1798122677 2213074064 3596245354 4426148128 7192490708 14384981416 28769962832 57539925664